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Maths Quest Maths B Year 12 for Queensland, Solution Manual, 2nd Edition

Maths Quest Maths B Year 12 for Queensland, Solution Manual, 2nd Edition

Nick Simpson, Robert Rowland, Anita Cann

ISBN: 978-1-742-16038-2

Jan 2010

184 pages

Select type: Paperback

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Chapter 1 - Modelling change and rates of change.

Exercise 1A - Using functions to model change.

Exercise 1B - Graphing polynomial functions.

Exercise 1C - Review of differentiation.

Exercise 1D - Rules for differentiation.

Chapter review.

Modelling and problem solving.

Chapter 2 - Applications of differentiation.

Exercise 2A - Sketching curves.

Exercise 2B - Equations of tangents and normals.

Exercise 2C - Maximum and minimum problems when the function is known.

Exercise 2D - Maximum and minimum problems when the function is unknown.

Investigation - Cross-country run.

Exercise 2E - Rates of change.

Chapter review.

Modelling and problem solving.

Chapter 3 - Exponential and logarithmic functions.

Exercise 3A - The index laws.

Exercise 3B - Logarithms and laws of logarithms.

Exercise 3C - Indicial equations.

Exercise 3D - Logarithmic equations using any base.

Exercise 3E - Exponential equations (base e).

Exercise 3F - Equations with natural (base e) logarithms.

Investigation - An earthquake formula.

Exercise 3G - Exponential and logarithmic modelling.

Chapter review.

Modelling and problem solving.

Chapter 4 - Derivatives of exponential and logarithmic functions.

Exercise 4A - Inverses.

Exercise 4B - The derivative of ex.

Exercise 4C - The derivative of loge x.

Exercise 4D - Derivatives of exponential and logarithmic functions.

Exercise 4E - Applications of derivatives of exponential functions.

Chapter review.

Modelling and problem solving.

Chapter 5 - Periodic functions.

Exercise 5A - Revision of radians and the unit circle.

Exercise 5B - Symmetry and exact values.

Exercise 5C - Further trigonometric equations.

Exercise 5D - Further trigonometric graphs.

Exercise 5E - Finding equations of trigonometric graphs.

Exercise 5F - Trigonometric modelling and problem solving.

Chapter review.

Modelling and problem solving.

Chapter 6 - The calculus of periodic functions.

Exercise 6A - The derivatives of sin x and cos x.

Exercise 6B - Further differentiation of trigonometric functions.

Exercise 6C - Applications of differentiation.

Exercise 6D - Kinematics.

Chapter review.

Modelling and problem solving.

Chapter 7 - Introduction to integration.

Exercise 7A - Approximating areas enclosed by functions.

Exercise 7B - Antidifferentiation (integration).

Exercise 7C - Integration of ex, sin x and cos x.

Exercise 7D - Integration by recognition.

Chapter review.

Modelling and problem solving.

Chapter 8 - Techniques of integration.

Exercise 8A - The fundamental theorem of integral calculus.

Exercise 8B - Signed areas.

Exercise 8C - Further areas.

Exercise 8D - Areas between two curves.

Exercise 8E - Further applications of integration - modelling and problem solving.

Investigation - Concrete chute.

Chapter review.

Modelling and problem solving.

Chapter 9 - Probability distributions.

Exercise 9A - Discrete random variables.

Exercise 9B - Expected value of discrete random distributions.

Exercise 9C - The binomial distribution.

Exercise 9D - Problems involving the binomial distribution for multiple probabilities.

Exercise 9E - Expected value, variance and standard deviation of the binomial distribution.

Investigation - The binomial theorem.

Chapter review.

Modelling and problem solving.

Chapter 10 - The normal distribution.

Exercise 10A - The standard normal distribution.

Exercise 10B - The inverse normal cumulative distribution.

Investigation - Sunflower stems.

Exercise 10C - The normal approximation to the binomial distribution.

Investigation - Supporting the proposal.

Exercise 10D - Hypothesis testing.

Chapter review.